Find the surface area of sphere where volume of sphere is 606.375 m3.1

1.	Find the surface area of sphere where volume of sphere is 606.375 m3.1. 324.5 m22. 344.5 m23. 346.5 m24. 348.5 m2
Answer» Correct Answer - Option 3 : 346.5 m² Given: Volume of sphere = 606.375 m³. Formula used: Surface area of sphere = 4πr2 Volume of sphere = (4/3)π × r³ Calculation: Volume of sphere = (4/3)πr³ ⇒ (4/3)πr³ = 606.375 m³ ⇒ (4/3)(22/7) × r³ = 606.375 m³ ⇒ r3 = (606.375 × 7 × 3)/(22 × 4) ⇒ r3 = 144.703125 ⇒ r = 5.25 m Surface area of sphere = 4πr² ⇒ Surface area of sphere = 4 × (22/7) × (5.25)² ⇒ (4 × 22 × 5.25 × 5.25)/7 ⇒ (2425.5)/7 ⇒ 346.5 m² ∴ The surface area of sphere is 346.5 m².

Find the surface area of sphere where volume of sphere is 606.375 m3.1. 324.5 m22. 344.5 m23. 346.5 m24. 348.5 m2

Answer» Correct Answer - Option 3 : 346.5 m²

Given:

Volume of sphere = 606.375 m³.

Formula used:

Surface area of sphere = 4πr2

Volume of sphere = (4/3)π × r³

Calculation:

Volume of sphere = (4/3)πr³

⇒ (4/3)πr³ = 606.375 m³

⇒ (4/3)(22/7) × r³ = 606.375 m³

⇒ r3 = (606.375 × 7 × 3)/(22 × 4)

⇒ r3 = 144.703125

⇒ r = 5.25 m

Surface area of sphere = 4πr²

⇒ Surface area of sphere = 4 × (22/7) × (5.25)²

⇒ (4 × 22 × 5.25 × 5.25)/7

⇒ (2425.5)/7

⇒ 346.5 m²

∴ The surface area of sphere is 346.5 m².

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Find the surface area of sphere where volume of sphere is 606.375 m3.1. 324.5 m22. 344.5 m23. 346.5 m24. 348.5 m2

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